05-20-2015, 09:18 PM (This post was last modified: 05-21-2015 10:22 AM by salvomic.)
Post: #1
 salvomic Senior Member Posts: 1,394 Joined: Jan 2015
hi all,
this program calculates leasing with advanced payments (i.e duration: 60 months, 3 advanced payments (or at the end)...), giving monthly payment (less the advanced...) and calculating the monthly and annual yield (rate).
The program calculate also the payment of a Leasing with residual value (for payment and yield, with the IRR method).
Theese functions are similar to those in the HP 12C calculator.

Enjoy!

Salvo Micciché

EDIT: new version with a choose menu

Code:
 Menu(); Leasing() BEGIN // by Salvo Micciché 2015 Menu(); END; EXPORT Leasing_advpmt() // solve for monthly payment BEGIN LOCAL r, n, fpmt, val; INPUT ({r, n, fpmt, val},"Leasing: advance payments", {"yield%", "n lease", "n pmt advance", "value"},  {"Yield (rate)%", "Duration of lease", "Num of advance payments", "Value of Leasing"}, {0,0, 0, 0},{0,12, 3,0}); LOCAL npmt, pv; npmt:= n - fpmt; pv:= Finance.CalcPV(npmt, r, -1, 0, 12, 12, 1); PRINT; PRINT( "Leasing with advanced payments Value of lease: " + EVAL(val) + " Duration of lease: " + EVAL(n) + " Advanced payments n.: " + EVAL(fpmt) + " Periodic payments n.: " + EVAL(npmt) + " Yield (rate): " + EVAL(r) + "%  Monthly payment: " + EVAL(val/(pv+fpmt)) ); WAIT (0); Menu(); RETURN val/(pv+fpmt); END; EXPORT Leasing_yield() // solve for yield BEGIN LOCAL n, fpmt, val, pmt, yield, npmt, pv; INPUT ({n, fpmt, val, pmt},"Leasing: calc yield", {"n lease", "n pmt advance", "value", "payment"},  {"Duration of lease", "Num of advance payments", "Value of Leasing", "Monthly payment"}, {0,0, 0, 0},{12,3, 0, 0}); npmt:= n - fpmt; pv:= fpmt*pmt-val; yield:= Finance.CalcIPYR(npmt, pv, pmt, 0, 12, 12, 1); PRINT; PRINT ("Leasing: solving for Yield Value of lease (loan): " + EVAL(val) + " Duration of lease: " + EVAL(n) + " Advanced payments n.: " + EVAL(fpmt) + " Periodic payments n.: " + EVAL(npmt) + " Monthly Payment: " + EVAL(pmt) + " Monthly yield: " + EVAL(yield/12) + "%  Yearly yield: " + EVAL(yield) + "%" ); WAIT (0); Menu(); RETURN yield; END; EXPORT Leasing_residual() // Leasing with residual value, solve for monthly payment BEGIN LOCAL n, r, val, resval, fpmt, att, pv; LOCAL npmt, pv2; INPUT ({n, fpmt, r, val, resval},"Leasing with residual", {"n lease", "n adv pmt", "yield%", "value", "res value"},  {"Duration of lease", "Num advanced payments", "Yield (rate)%", "Value of Leasing (loan)", "Residual value"},  {0,0, 0, 0, 0},{12, 3, 0, 0, 0}); pv:= Finance.CalcPV(n, r,0, resval, 12, 12, 1); att:= pv + val; npmt:= n - fpmt; pv2:= Finance.CalcPV(npmt, r, -1, 0, 12, 12, 1); pv2:= pv2 + fpmt; PRINT; PRINT ("Leasing with residual  Value of lease (loan): " + EVAL(val) + " Residual value: " + EVAL(resval) + " Duration of lease: " + EVAL(n) + " Advanced payments n.: " + EVAL(fpmt) + " Periodic payments n.: " + EVAL(npmt) + " Yield (rate): " + EVAL(r) + "%  Monthly payment: " + EVAL(att/pv2) ); WAIT (0); Menu(); RETURN att/pv2; END; EXPORT Leasing_res_yield() // Leasing with residual value, solve for yield (rate) BEGIN LOCAL n, fpmt, val, pmt, resval, j, irr; LOCAL flows:={}, yield, npmt, netamt; INPUT ({n, fpmt, val, resval, pmt},"Leasing: calc yield", {"n lease", "n pmt advance", "value", "res val", "payment"},  {"Duration of lease", "Num of advance payments", "Value of Leasing", "REsidual value", "Monthly payment"}, {0,0, 0, 0, 0},{36,2, 0, 0, 0}); npmt:= n - fpmt; netamt:= -val+pmt*fpmt; // net amount (-value + payment*advanced num pmt) flows:= append(flows, netamt); // create list, append net amount FOR j FROM 1 TO npmt DO flows:= append (flows, pmt); // append payment, (num pmt - advanced pmt) times END; // for FOR j  FROM 1 TO (fpmt-1) DO flows:= append (flows, 0);  // append 0, (mum advanced pmt minus 1) END; // for flows:= append(flows, resval); // append residual value L1:= flows; irr:= Solve.SOLVE(ΣLIST(MAKELIST((L1(I)/X^(I-1)),I,1,SIZE(L1))),X)-1; // Solve.SOLVE() could not always work, but give only a secure value, solve() works better, butr gives more values PRINT; PRINT ("Leasing with advanced payments and residual value: yield  Solved for IRR Value of lease (loan): " + EVAL(val) + " Residual value: " + EVAL(resval) + " Duration of lease: " + EVAL(n) + " Advanced payments n.: " + EVAL(fpmt) + " Periodic payments n.: " + EVAL(npmt) + " Monthly Payment: " + EVAL(pmt) + " Net amount of cash advanced: " + EVAL(netamt) + " Monthly yield: " + EVAL(irr*100) + "%  Yearly yield: " + EVAL(12*irr*100) + "%" ); WAIT (0); Menu(); RETURN 12*irr; // yearly yield (IRR) in decimal END; EXPORT Menu() BEGIN LOCAL ch; CHOOSE(ch, "Leasing", "Leasing with advanced payments", "Leasing: solving for Yield",  "Leasing with residual", "Leasing residual: yield", "Quit"); CASE IF ch==1 THEN Leasing_advpmt(); END; IF ch==2 THEN Leasing_yield(); END; IF ch==3 THEN Leasing_residual(); END; IF ch==4 THEN Leasing_res_yield(); END; IF ch==5 THEN RETURN; END; DEFAULT  KILL; END; // case END;

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 Messages In This Thread Leasing: advance payments - salvomic - 05-20-2015 09:18 PM RE: Leasing: advance payments - Eddie W. Shore - 05-21-2015, 01:57 PM RE: Leasing: advance payments - salvomic - 05-21-2015, 04:04 PM RE: Leasing: advance payments - salvomic - 04-23-2016, 05:14 PM

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